260212124040 has 256 divisors, whose sum is σ = 856198252800. Its totient is φ = 62742528000.

The previous prime is 260212124017. The next prime is 260212124041. The reversal of 260212124040 is 40421212062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 260212124040.

It is not an unprimeable number, because it can be changed into a prime (260212124041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313886346 + ... + 313887174.

It is an arithmetic number, because the mean of its divisors is an integer number (3344524425).

Almost surely, 2^260212124040 is an apocalyptic number.

260212124040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260212124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428099126400).

260212124040 is an abundant number, since it is smaller than the sum of its proper divisors (595986128760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260212124040 is a wasteful number, since it uses less digits than its factorization.

260212124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 260212124040 in words is "two hundred sixty billion, two hundred twelve million, one hundred twenty-four thousand, forty".